A note on interpreting N M2 branes

Abstract

A new world volume theory with a free scalar field was proposed for Multiple M2 branes recently. By giving the free scalar a large VEV, we can obtain a gauge theory of multiple D2 branes with a coupling constant proportional to the VEV. It is pointed out by Banerjee and Sen that we can get D2 branes by choosing a compactification in the $\theta$ direction, with radial position having the same value of the VEV. Following this work, we try to describe the multiple M2 branes in R^8/Z_K and give a simple provement of g_{YM} \propto {1 \ov \sqrt{K}} in the compactification. We try to interpret T^0 and T^{-1} as the radial coordinate operator and momentum operator and give some evidences in geometry and quantum mechanics.

12 pages, a note of our provement added, some explanation modified

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Cited by in corpus (4)

• Topological branes, p-algebras and generalized Nahm equations
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory